104557340160 has 960 divisors, whose sum is σ = 462432402432. Its totient is φ = 22048505856.

The previous prime is 104557340137. The next prime is 104557340213. The reversal of 104557340160 is 61043755401.

104557340160 is a `hidden beast` number, since 1 + 0 + 4 + 557 + 3 + 40 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56608357 + ... + 56610203.

Almost surely, 2^104557340160 is an apocalyptic number.

104557340160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104557340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231216201216).

104557340160 is an abundant number, since it is smaller than the sum of its proper divisors (357875062272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104557340160 is an equidigital number, since it uses as much as digits as its factorization.

104557340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 104557340160 in words is "one hundred four billion, five hundred fifty-seven million, three hundred forty thousand, one hundred sixty".